yes
They are methods of obtaining the probability of an event.
They are both measures of the probability of an event occurring.
They are exactly the same
Empirical and experimental probability are the same thing. They are the outcome of an experiment.
yes
They are methods of obtaining the probability of an event.
They are both measures of the probability of an event occurring.
They are exactly the same
Yes, it can.
Empirical and experimental probability are the same thing. They are the outcome of an experiment.
They are the same. They are probabilities that are calculated from some theoretical model of the experiment using scientific laws.They are the same. They are probabilities that are calculated from some theoretical model of the experiment using scientific laws.They are the same. They are probabilities that are calculated from some theoretical model of the experiment using scientific laws.They are the same. They are probabilities that are calculated from some theoretical model of the experiment using scientific laws.
If this is a homework assignment, please consider trying to answer it yourself first, otherwise the value of the reinforcement of the lesson offered by the assignment will be lost on you.If a number cube (die) contains the numbers 1, 2, 3, 4, 5, and 6, and the cube is fair, then the probability of rolling a 6 is 1 in 6. If you roll the cube 10 times, you would expect to get 6's 10 / 6, or about 2 times. However, 10 trials is not a lot of trials, so the experimental outcome might not match the theoretical probability. In this case, the experimental probability matched the theoretical probability, but that is simply chance. If you repeat the experiment, so you will probably not get the same results.
I'm going to assume you're looking for the probability of getting three heads out of three coin spins and that you're using a fair coin. For coin spins, theoretical probability is very simple. The probability of getting three heads in a row is 1/2 * 1/2 * 1/2 = 1/8. This means that if you tossed a coin three times, you'd expect to see three heads once every 8 trials. For experimental probability you need to define clear trials, for this experiment you can't just spin a coin over and over and count the number of times you see three heads in a row, for example, if you threw the following: H T H H T T H H H H H T T H T T T you have three cases where you have three heads in a row, but they all overlap so these are not independent trials and cannot be compared to the theoretical result. When conducting your experiment, you know that if you get a T in your trial, it doesn't matter what comes after, that trial has already failed to get three heads in a row. The trial is deemed a success if you get three heads in a row, naturally. As a result, if you threw the above sequence, you would to determine your experimental probability in the following way: H T fail H H T fail T fail H H H success H H T fail T fail H T fail T fail T fail In this example we have 8 trials and one success, therefore the experimental probability is 1/8. The sample variance (look it up), however is also 1/8, meaning that all you really know is that the experimental probability could be anywhere between 0 and 1/4. The only way to get the variance down (and therefore reduce your confidence interval) is to perform more and more trials. It's unlikely for the theoretical probability and experimental probability to be EXACTLY the same but the more trials you do, the more the experimental probability will converge on the theoretical probability.
Yes
a machine has two parts the probability of failure of one parts in a given period of time is 0.06 the probability of failure of the other part in the same period os 0.08 what is the probability that the machine fails in that period of time ?
No. p-values are probabilities but they are not the only ones.